In this video, you will learn how to view one or more parts of an expression as

a single entity, by using the associative property to analyze the formula for a rectangle’s perimeter.

perimeter – measurement of the distance around the outside of a polygon or a circle

example: 4 x 5 = 2 x 10

rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides

rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides

rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides

Rectangle Perimeter Formula, #1

l

l

ww

Rectangle Perimeter Formula, #1

l

l

ww

p = l + l + w + w

The Associative Property

When three or more values are added, the sum is the same regardless of the grouping of the values

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #2

l

l

ww

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w

l

ww

l

The Associative Property

When three or more values are added, the sum is the same regardless of the grouping of the values

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + w) + (l + w)p = (l + l) + (w + w)p = 2l + 2w

l

ww

l

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w

l

ww

l

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w

l

ww

l

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w

l

ww

l

Rectangle Perimeter Formula, #3

p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w

l

ww

l

Synopsis

p = l + l + w + wp = 2l + 2wp = 2(l + w)

In this video, you learned how to view one or more parts of an expression as

a single entity, by using the associative property to analyze the formula for a rectangle’s perimeter.